Search results for "Inversion formula"

showing 3 items of 3 documents

Henstock type integral in harmonic analysis on zero-dimensional groups

2006

AbstractA Henstock type integral is defined on compact subsets of a locally compact zero-dimensional abelian group. This integral is applied to obtain an inversion formula for the multiplicative integral transform.

Henstock integralApplied MathematicsMathematical analysisLine integralRiemann integralRiemann–Stieltjes integralSingular integralLocally compact groupHenstock–Fourier seriesVolume integralsymbols.namesakeLocally compact zero-dimensional abelian groupImproper integralsymbolsCharacters of a groupInversion formulaDaniell integralMultiplicative integral transformAnalysisMathematicsJournal of Mathematical Analysis and Applications
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P-adic Henstock integral in the problem of representation of functions by multiplicative transforms

2005

We introduce a path integral of Henstock type and use it to obtain inversion formulas for multiplicative integral transformations. The problem considered is a generalization of the problem of reconstruction of coefficients of a convergent orthogonal series from its sum.

Inversion formulas Henstock type integral
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Inversion formulae for the integral transform on a locally compact zero-dimensional group

2009

Abstract Generalized inversion formulae for multiplicative integral transform with a kernel defined by characters of a locally compact zero-dimensional abelian group are obtained using a Kurzweil-Henstock type integral.

Locally compact zero-dimensional abelian group characters of a group Kurzweil-Henstock integral Fourier series multiplicative integral transform inversion formulaSettore MAT/05 - Analisi MatematicaGeneral MathematicsMultiplicative functionMathematical analysisMathematics::Classical Analysis and ODEsLocally compact spaceAbelian groupLocally compact groupIntegral transformInversion (discrete mathematics)MathematicsTatra Mountains Mathematical Publications
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